6317295741120 has 896 divisors, whose sum is σ = 25236562176000. Its totient is φ = 1330409816064.

The previous prime is 6317295741109. The next prime is 6317295741137. The reversal of 6317295741120 is 211475927136.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 6317295741120.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3163391962 + ... + 3163393958.

It is an arithmetic number, because the mean of its divisors is an integer number (28165806000).

Almost surely, 2^{6317295741120} is an apocalyptic number.

6317295741120 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6317295741120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12618281088000).

6317295741120 is an abundant number, since it is smaller than the sum of its proper divisors (18919266434880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6317295741120 is a wasteful number, since it uses less digits than its factorization.

6317295741120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2790 (or 2766 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 48.

The spelling of 6317295741120 in words is "six trillion, three hundred seventeen billion, two hundred ninety-five million, seven hundred forty-one thousand, one hundred twenty".